Some remarks on 'Multidimensional fixed point theorems for isotone mappings in partially ordered metric spaces'
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Date
2014
Journal Title
Journal ISSN
Volume Title
Publisher
Springer international Publishing Ag
Open Access Color
GOLD
Green Open Access
No
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Publicly Funded
No
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Average
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Average
Popularity
Top 10%
Abstract
The main aim of this paper is to advise researchers in the field of Fixed Point Theory against an extended mistake that can be found in some proofs. We illustrate our claim proving that theorems in the very recent paper (Wang in Fixed Point Theory Appl. 2014: 137, 2014) are incorrect, and we provide different corrected versions of them.
Description
KARAPINAR, ERDAL/0000-0002-6798-3254; Roldán López de Hierro, Antonio Francisco/0000-0002-6956-4328
Keywords
fixed point, contractivity condition, isotone mapping, mixed monotone mapping, Applied Mathematics, Geometry and Topology, contractivity condition, mixed monotone mapping, fixed point, Fixed-point and coincidence theorems (topological aspects), isotone mapping, Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces, Special maps on metric spaces
Fields of Science
0101 mathematics, 01 natural sciences
Citation
WoS Q
Scopus Q
Q2
OpenCitations Citation Count
3
Source
Fixed Point Theory and Applications
Volume
2014
Issue
Start Page
End Page
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Citations
CrossRef : 1
Scopus : 4
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Mendeley Readers : 7
SCOPUS™ Citations
4
checked on Feb 18, 2026
Web of Science™ Citations
5
checked on Feb 18, 2026
Page Views
2
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